naginterfaces.library.specfun.bessel_​i0_​scaled

naginterfaces.library.specfun.bessel_i0_scaled(x)[source]

bessel_i0_scaled returns a value of the scaled modified Bessel function .

For full information please refer to the NAG Library document for s18ce

https://www.nag.com/numeric/nl/nagdoc_28.5/flhtml/s/s18cef.html

Parameters
xfloat

The argument of the function.

Returns
si0float

The value of the function at .

Notes

bessel_i0_scaled evaluates an approximation to , where is a modified Bessel function of the first kind. The scaling factor removes most of the variation in .

The function uses the same Chebyshev expansions as bessel_i0_real(), which returns the unscaled value of .

References

NIST Digital Library of Mathematical Functions